Question: Consider the following differential equation.y y30y = e6xWrite the given differential equation in the formL(y)= g(x),where L is a linear operator with constant coefficients. If

Consider the following differential equation.y y30y = e6xWrite the given differential equation in the formL(y)= g(x),where L is a linear operator with constant coefficients. If possible, factor L.(Use D for the differential operator.)y = e6xFind a linear differential operator that annihilates the functiong(x)= e6x.(Use D for the differential operator.)Solve the given differential equation by undetermined coefficients.

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